Home
Class 12
MATHS
(1)/(1-cos x)...

`(1)/(1-cos x)`

Text Solution

AI Generated Solution

To solve the integral \(\int \frac{1}{1 - \cos x} \, dx\), we can follow these steps: ### Step 1: Rewrite the integrand We start by rewriting the expression \(1 - \cos x\) using a trigonometric identity: \[ 1 - \cos x = 2 \sin^2\left(\frac{x}{2}\right) \] Thus, we can rewrite the integral as: ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Theory Questions|6 Videos

  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Example For Practice|128 Videos

  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MCQ|15 Videos

  • LINE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Multiple choice question|9 Videos

Similar Questions

Explore conceptually related problems

(i) int(1)/((1+cos2x))dx , (ii) int (1)/((1-cos2x)) dx

Differentiate the following functions with respect to x:tan^(-1){sqrt((1+cos x)/(1-cos x))}

Differentiate 'tan^(^^)(-1){sqrt((1+cos x)/(1-cos x)},darr backslash0

If y = tan ^(-1) (sqrt((1+cos x)/(1-cos x))), " find " (dy)/(dx)

int(1+cos x)/(1-cos x)dx

1- (sin ^ (2) x) / (1 + cos x) + (1 + cos x) / (sin x) - (sin x) / (1-cos x) =

Differentiate the following functions with respect to x:tan^(-1){sqrt((1+cos x)/(1-cos x))},0

Differentiate the following functions with respect to x:tan^(-1){sqrt((1+cos x)/(1-cos x))}0